Results 21 to 30 of about 4,295 (261)

Analytical solutions of spherical structures with relativistic corrections

European Physical Journal C: Particles and Fields, 2023
This paper analyzes the characteristic of a non-static sphere along with anisotropic fluid distribution in the background of modified $$f(\mathcal {G})$$ f ( G ) theory.
M. Z. Bhatti, S. Ijaz, Bander Almutairi, A. S. Khan   +3 more
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On a class of even-dimensional manifolds structured by an affine connection

International Journal of Mathematics and Mathematical Sciences, 2002
We deal with a 2m-dimensional Riemannian manifold (M,g) structured by an affine connection and a vector field 𝒯, defining a 𝒯-parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector
I. Mihai, A. Oiagă, R. Rosca
doaj   +1 more source

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

Axioms, 2022
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi, Ali Hussain Alkhaldi, Meraj Ali Khan, Aliya Naaz Siddiqui   +3 more
doaj   +1 more source

On the coupling of vector fields to the Gauss-Bonnet invariant

Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, 2021
Inflationary models including vector fields have attracted a great deal of attention over the past decade. Such an interest owes to the fact that they might contribute to, or even be fully responsible for, the curvature perturbation imprinted in the ...
Juan C. Bueno-Sánchez, John Bayron Orjuela- Quintana, César A. Valenzuela-Toledo   +2 more
doaj   +1 more source

Conformal vector fields on statistical manifolds

Revista de la Unión Matemática Argentina, 2022
This paper introduces the notion of conformal vector field on a statistical manifold. A statistical manifold is a triple \((M,g,T)\), where \(g\) is a Riemannian metric tensor on the smooth manifold \(M\), and \(T\) is a covariant tensor of order 3 which is fully symmetric. An equivalent definition can be given replacing \(T\) with an affine connection
Samereh, Leila, Peyghan, Esmaeil
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On the zeros of a conformal vector field [PDF]

Nagoya Mathematical Journal, 1974
In [1] S. Kobayashi showed that the connected components of the set of zeros of a Killing vector field on a Riemannian manifold (Mn,g) are totally geodesic submanifolds of (Mn,g) of even codimension including the case of isolated singular points. The purpose of this short note is to give a simple proof of the corresponding result for conformal vector ...
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Almost Conformal Vector Fields on a Riemannian Manifold

Mathematics
We introduce the notion of an almost conformal vector field, which generalizes conformal vector fields and recently introduced m-modified conformal vector fields on a Riemannian manifold.
Sharief Deshmukh, Hana Al-Sodais
doaj   +1 more source

Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces

Journal of Mathematics, 2015
We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar, Narasimhamurthy Senajji Kampalappa, Thippeswamy Komalobiah Rajanna, Kavyashree Ambale Rajegowda   +3 more
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On the Tachibana numbers of closed manifolds with pinched negative sectional curvature

Дифференциальная геометрия многообразий фигур, 2020
Conformal Killing form is a natural generalization of con­formal Killing vector field. These forms were exten­si­vely studied by many geometricians. These considerations we­re motivated by existence of various applications for the­se forms.
S.E. Stepanov, I. I. Tsyganok
doaj   +1 more source

Null vectors in logarithmic conformal field theory [PDF]

Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000
The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how ...
openaire   +2 more sources